One of the functions of an electrolyte is to act as a selective filter, all
owing the transport of ionic species, but not electronic species. Leakage o
f electronic species through the electrolyte in an electrochemical cell cau
ses a reduction in the output voltage, as well as leading to self-discharge
and capacity loss. The parameter that describes the fraction of the total
current through an electrochemical system that is carried by a particular s
pecies is its transference number. There are several ways in which this qua
ntity can be determined experimentally, and one of the most common is known
as the Hebb-Wagner method, which involves the measurement of the steady st
ate current through a selectively polarized electrochemical cell. The trans
ference number is not a constant for a given material, but instead, is depe
ndent upon the chemical potentials of the constituent components within it.
Thus, it is dependent upon the local composition and will not be uniform t
hroughout an electrolyte in a galvanic cell in which the electrodes have di
fferent values of the chemical potentials. One can understand the results o
f Hebb-Wagner experiments using a Defect Equilibrium Diagram as a thinking
tool. A straightforward method for its development in the general case of a
binary electrolyte and the relationship between defect concentrations and
electric potential are presented. Gradients in the concentrations of electr
ons and holes lead to diffusion, and thus externally measurable charge tran
sport. The form of the dependence of the minority species currents: upon th
e applied voltage depends upon the direction of cell polarization, and the
potential of the reference electrode plays an important role in the determi
nation of their respective magnitudes. A double cell arrangement can be use
d to help obtain meaningful experimental results. (C) 2001 Elsevier Science
B.V. All rights reserved.